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arxiv: hep-ph/0106291 · v1 · submitted 2001-06-26 · ✦ hep-ph

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Softly Broken A₄ Symmetry for Nearly Degenerate Neutrino Masses

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classification ✦ hep-ph
keywords massesneutrinosymmetrydegeneratemodelnearlybelowbreaking
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The leptonic Higgs doublet model of neutrino masses is implemented with an A_4 discrete symmetry (the even permutation of 4 objects or equivalently the symmetry of the tetrahedron) which has 4 irreducible representations: 1, 1', 1'', and 3. The resulting spontaneous and soft breaking of A_4 provides a realistic model of charged-lepton masses as well as a nearly degenerate neutrino mass matrix. Phenomenological consequences at and below the TeV scale are discussed.

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Cited by 1 Pith paper

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  1. Why Quarks and Leptons Demand Different Symmetries: A Systematic $Z_3$ Froggatt-Nielsen Analysis

    hep-ph 2026-03 unverdicted novelty 6.0

    A Z3 Froggatt-Nielsen model with one flavon reproduces quark and charged lepton hierarchies but yields neutrino mass-squared ratios too small by two orders of magnitude and random PMNS angles.